Derivation of the state matrix for dynamic analysis of linear homogeneous media
2016 (English)In: Journal of the Acoustical Society of America, ISSN 0001-4966, E-ISSN 1520-8524, Vol. 140, no 2, EL218-EL220 p.Article in journal (Refereed) Published
A method to obtain the state matrix of an arbitrary linear homogeneous medium excited by a plane wave is proposed. The approach is based on projections on the eigenspace of the governing equations matrix. It is an alternative to manually obtaining a linearly independent set of equations by combining the governing equations. The resulting matrix has been validated against previously published derivations for an anisotropic poroelastic medium.
Place, publisher, year, edition, pages
Acoustical Society of America (ASA), 2016. Vol. 140, no 2, EL218-EL220 p.
Anisotropic media, Excited states, A-plane, Eigenspaces, Governing equations, Homogeneous media, Homogeneous medium, Linearly independents, Poroelastic medium, State matrices
Other Mechanical Engineering
Research subject Engineering Mechanics
IdentifiersURN: urn:nbn:se:kth:diva-190728DOI: 10.1121/1.4960624ISI: 000383916100012ScopusID: 2-s2.0-84983405426OAI: oai:DiVA.org:kth-190728DiVA: diva2:952438
QC 201610142016-08-122016-08-122016-10-14Bibliographically approved